
\begingroup
\centering
\begin{tabular}{lcccccccccccccccc}
   \toprule
    & \multicolumn{16}{c}{No. of people in county $i$ with surname $k$ in year:}\\
    & \multicolumn{2}{c}{1900} & \multicolumn{2}{c}{1905} & \multicolumn{2}{c}{1910} & \multicolumn{2}{c}{1915} & \multicolumn{2}{c}{1920} & \multicolumn{2}{c}{1925} & \multicolumn{2}{c}{1930} & \multicolumn{2}{c}{1940} \\ 
\cmidrule(lr){2-3} \cmidrule(lr){4-5} \cmidrule(lr){6-7} \cmidrule(lr){8-9} \cmidrule(lr){10-11} \cmidrule(lr){12-13} \cmidrule(lr){14-15} \cmidrule(lr){16-17}
                                                                               & (1)           & (2)           & (3)           & (4)           & (5)            & (6)            & (7)            & (8)            & (9)            & (10)           & (11)           & (12)           & (13)           & (14)           & (15)            & (16)\\  
   \midrule 
   $I_{k, -r(i)}^{1880} \times \frac{I_{-o(k), i}^{1880}}{I_{-o(k)}^{1880}}$   & 3.263$^{***}$ & 3.151$^{***}$ & 3.271$^{***}$ & 3.140$^{***}$ & 3.812$^{***}$  & 3.639$^{***}$  & 3.846$^{***}$  & 3.668$^{***}$  & 4.257$^{***}$  & 4.058$^{***}$  & 4.418$^{***}$  & 4.182$^{***}$  & 4.889$^{***}$  & 4.596$^{***}$  & 5.016$^{***}$   & 4.704$^{***}$\\   
                                                                               & (0.104)       & (0.106)       & (0.096)       & (0.099)       & (0.109)        & (0.113)        & (0.083)        & (0.087)        & (0.089)        & (0.094)        & (0.091)        & (0.096)        & (0.102)        & (0.099)        & (0.098)         & (0.095)\\   
   $I_{k, -r(i)}^{1895} \times \frac{I_{-o(k), i}^{1895}}{I_{-o(k)}^{1895}}$   & 0.722$^{**}$  & 0.931$^{***}$ & 1.081         & 1.289$^{*}$   & 1.443$^{*}$    & 1.652$^{*}$    & 1.805$^{***}$  & 2.033$^{***}$  & 2.038$^{***}$  & 2.299$^{***}$  & 2.869$^{***}$  & 3.183$^{***}$  & 3.183$^{***}$  & 3.539$^{***}$  & 3.245$^{***}$   & 3.640$^{***}$\\   
                                                                               & (0.295)       & (0.289)       & (0.700)       & (0.769)       & (0.802)        & (0.881)        & (0.567)        & (0.627)        & (0.613)        & (0.677)        & (0.607)        & (0.667)        & (0.248)        & (0.225)        & (0.314)         & (0.293)\\   
   $I_{k, -r(i)}^{1900} \times \frac{I_{-o(k), i}^{1900}}{I_{-o(k)}^{1900}}$   &               &               & -0.516        & -1.381        & 2.135          & 0.952          & -0.160         & -0.937         & 1.199          & 0.429          & -4.712$^{*}$   & -5.265$^{*}$   & -3.889         & -4.545         & -2.471          & -2.631\\   
                                                                               &               &               & (2.547)       & (2.845)       & (2.993)        & (3.355)        & (2.376)        & (2.609)        & (2.639)        & (2.890)        & (2.843)        & (3.093)        & (3.505)        & (3.309)        & (3.207)         & (2.980)\\   
   $I_{k, -r(i)}^{1905} \times \frac{I_{-o(k), i}^{1905}}{I_{-o(k)}^{1905}}$   &               &               &               &               & 14.507$^{***}$ & 15.342$^{***}$ & 18.806$^{***}$ & 19.327$^{***}$ & 21.604$^{***}$ & 22.245$^{***}$ & 27.458$^{***}$ & 27.682$^{***}$ & 30.517$^{***}$ & 30.812$^{***}$ & 33.261$^{***}$  & 33.180$^{***}$\\   
                                                                               &               &               &               &               & (1.208)        & (1.437)        & (1.112)        & (1.275)        & (1.243)        & (1.419)        & (1.315)        & (1.465)        & (1.171)        & (1.120)        & (1.094)         & (1.058)\\   
   $I_{k, -r(i)}^{1910} \times \frac{I_{-o(k), i}^{1910}}{I_{-o(k)}^{1910}}$   &               &               &               &               &                &                & 18.276$^{***}$ & 17.835$^{***}$ & 20.650$^{***}$ & 20.248$^{***}$ & 27.962$^{***}$ & 27.438$^{***}$ & 31.176$^{***}$ & 30.101$^{***}$ & 33.057$^{***}$  & 31.915$^{***}$\\   
                                                                               &               &               &               &               &                &                & (2.214)        & (2.401)        & (2.369)        & (2.574)        & (2.373)        & (2.559)        & (3.365)        & (3.365)        & (2.942)         & (2.967)\\   
   $I_{k, -r(i)}^{1915} \times \frac{I_{-o(k), i}^{1915}}{I_{-o(k)}^{1915}}$   &               &               &               &               &                &                &                &                & 8.119$^{***}$  & 8.409$^{***}$  & 14.490$^{***}$ & 14.751$^{***}$ & 16.782$^{***}$ & 16.942$^{***}$ & 19.092$^{***}$  & 19.215$^{***}$\\   
                                                                               &               &               &               &               &                &                &                &                & (0.840)        & (0.888)        & (1.087)        & (1.145)        & (1.432)        & (1.315)        & (1.611)         & (1.493)\\   
   $I_{k, -r(i)}^{1920} \times \frac{I_{-o(k), i}^{1920}}{I_{-o(k)}^{1920}}$   &               &               &               &               &                &                &                &                &                &                & -1.490         & -1.515         & -1.018         & -0.982         & 2.825$^{*}$     & 2.644$^{*}$\\   
                                                                               &               &               &               &               &                &                &                &                &                &                & (1.968)        & (2.047)        & (1.085)        & (1.004)        & (1.490)         & (1.377)\\   
   $I_{k, -r(i)}^{1925} \times \frac{I_{-o(k), i}^{1925}}{I_{-o(k)}^{1925}}$   &               &               &               &               &                &                &                &                &                &                &                &                & 26.776$^{***}$ & 27.354$^{***}$ & 32.424$^{***}$  & 32.829$^{***}$\\   
                                                                               &               &               &               &               &                &                &                &                &                &                &                &                & (1.214)        & (1.286)        & (1.499)         & (1.564)\\   
   $I_{k, -r(i)}^{1930} \times \frac{I_{-o(k), i}^{1930}}{I_{-o(k)}^{1930}}$   &               &               &               &               &                &                &                &                &                &                &                &                &                &                & -34.025$^{***}$ & -29.284$^{***}$\\   
                                                                               &               &               &               &               &                &                &                &                &                &                &                &                &                &                & (3.464)         & (3.320)\\   
   Constant                                                                    & 0.010$^{***}$ &               & 0.008$^{***}$ &               & 0.007$^{***}$  &                & 0.004$^{***}$  &                & 0.003$^{***}$  &                & 0.001$^{**}$   &                & -0.002$^{***}$ &                & 0.000           &   \\   
                                                                               & (0.000)       &               & (0.000)       &               & (0.000)        &                & (0.000)        &                & (0.000)        &                & (0.000)        &                & (0.000)        &                & (0.000)         &   \\   
    $F$-stat & 824 & 942 & 1341 & 938 & 1161 & 821 & 1338 & 1002 & 1119 & 837 & 885 & 675 & 620 & 640 & 698 & 681\\
    \\
   Observations                                                                & 5,346,601     & 5,346,601     & 6,604,833     & 6,604,833     & 7,012,154      & 7,012,154      & 7,284,327      & 7,284,327      & 7,364,850      & 7,364,850      & 8,067,190      & 8,067,190      & 8,143,606      & 8,143,606      & 8,980,212       & 8,980,212\\  
   R$^2$                                                                       & 0.604         & 0.705         & 0.581         & 0.681         & 0.600          & 0.695          & 0.604          & 0.692          & 0.607          & 0.696          & 0.578          & 0.662          & 0.624          & 0.705          & 0.613           & 0.695\\  
    \\
   Origin country-County fixed effects                                         &               & $\checkmark$  &               & $\checkmark$  &                & $\checkmark$   &                & $\checkmark$   &                & $\checkmark$   &                & $\checkmark$   &                & $\checkmark$   &                 & $\checkmark$\\   
   Surname-Census division fixed effects                                       &               & $\checkmark$  &               & $\checkmark$  &                & $\checkmark$   &                & $\checkmark$   &                & $\checkmark$   &                & $\checkmark$   &                & $\checkmark$   &                 & $\checkmark$\\   
   $I_{i}^{\tau} / I^{\tau}$ controls                                          &               & $\checkmark$  &               & $\checkmark$  &                & $\checkmark$   &                & $\checkmark$   &                & $\checkmark$   &                & $\checkmark$   &                & $\checkmark$   &                 & $\checkmark$\\   
   \bottomrule
\end{tabular}
\par\endgroup


